My experience with thinning hair is that about six months after a particularly trying time in my life when my H was hospitalized in rapid succession for leg surgery, then leg amputation, then a heart attack, then pneumonia-- my hair started falling out.
It occurs to me that your move plus your dad's illness and death and all the stress associated with those two events (and possibly others) might be enough to cause the hair loss.
I'm glad you're approaching the doc with skepticism. Chances are s/he won't have a clue and will try to make something up.
These articles say that two to four months is the time it takes to show up. That would coincide precisely with the move and your dad's death, wouldn't it?